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Finding the Fourth Proportional to 3,982.60, 5,495.50 and 2,189.78

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Solution

The fourth proportional to 3,982.60, 5,495.50 and 2,189.78 is: 3,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.60 : 5,495.50 = 2,189.78 : x
  2. Step 2: Convert to fraction form
    3,982.60/5,495.50 = 2,189.78/x
  3. Step 3: Cross multiply
    3,982.60x = 5,495.50 × 2,189.78
  4. Step 4: Simplify right side
    3,982.60x = 12,033,897.56
  5. Step 5: Solve for x
    x = 12,033,897.56/3,982.60
  6. Step 6: Final answer
    x = 3,021.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.